Give the name of a substance that contracts with an increase in temperature.

The value of the coefficient of volume expansion of glycerin is $5 \times 10^{-4} \ K^{-1}$. The fractional change in the density of glycerin for a rise of $40^{\circ}C$ in its temperature is:

$A$ gas at $20 \, ^\circ C$ and normal pressure has a volume of $100 \, cm^3$. If its temperature is increased to $100 \, ^\circ C$ at the same pressure,its volume becomes $125 \, cm^3$. Calculate the coefficient of volume expansion of the gas at normal pressure in $^\circ C^{-1}$.

$A$ glass vessel of volume $V_0$ is completely filled with a liquid and its temperature is raised by $\Delta T$. What volume of the liquid will flow over,if the coefficient of linear expansion of glass is $\alpha_g$ and the coefficient of volume expansion of the liquid is $\gamma_L$?

$A$ liquid having a coefficient of cubical expansion $\gamma$ is kept in a copper vessel having a coefficient of linear expansion $\alpha = \frac{\gamma}{3}$. If heat is supplied to the vessel,the original level of the liquid in the vessel will

The densities of a liquid at $0^{\circ} C$ and $100^{\circ} C$ are respectively $1.0127 \ g/cm^3$ and $1 \ g/cm^3$. $A$ specific gravity bottle is filled with $300 \ g$ of the liquid at $0^{\circ} C$ up to the brim and it is heated to $100^{\circ} C$. Then, the mass of the liquid expelled in grams is: (Coefficient of linear expansion of glass $= 9 \times 10^{-6} /^{\circ} C$)